Derive a mathematical model for the pneumatic system of Figure 5.39, which is formed of two tanks and a conduit. The input is the pressure pi and the output is the pressure in the conical tank, po....

Derive a mathematical model for the pneumatic system of Figure 5.39, which is formed of two tanks and a conduit. The input is the pressure pi and the output is the pressure in the conical tank, po. Known are d = 0.5 m and l = 3 m; the conduit inner diameter is di = 0.005 m. The pneumatic agent is a gas with t = 1.2 kg/m3 and n = 1.3 # 10-5 N-s/m2 . Ignore the capacitance of the conduit.